Search a number
-
+
239298048 = 2932114721
BaseRepresentation
bin11100100001101…
…10011000000000
3121200021121012200
432100312120000
5442230014143
635424553200
75633666643
oct1620663000
9550247180
10239298048
11113094190
1268182800
133a7664a2
1423ad1a5a
151601d1d3
hexe436600

239298048 has 120 divisors (see below), whose sum is σ = 753574536. Its totient is φ = 72499200.

The previous prime is 239298043. The next prime is 239298077. The reversal of 239298048 is 840892932.

239298048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2392980482 = 114527111553220608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 239297994 and 239298012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239298043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48328 + ... + 53048.

Almost surely, 2239298048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239298048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376787268).

239298048 is an abundant number, since it is smaller than the sum of its proper divisors (514276488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

239298048 is a wasteful number, since it uses less digits than its factorization.

239298048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 239298048 is about 15469.2613915468. The cubic root of 239298048 is about 620.8400406384.

The spelling of 239298048 in words is "two hundred thirty-nine million, two hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2816 3168 4224 4608 4721 5632 6336 8448 9442 12672 14163 16896 18884 25344 28326 37768 42489 50688 51931 56652 75536 84978 103862 113304 151072 155793 169956 207724 226608 302144 311586 339912 415448 453216 467379 604288 623172 679824 830896 906432 934758 1208576 1246344 1359648 1661792 1812864 1869516 2417152 2492688 2719296 3323584 3625728 3739032 4985376 5438592 6647168 7251456 7478064 9970752 10877184 13294336 14956128 19941504 21754368 26588672 29912256 39883008 59824512 79766016 119649024 239298048